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# Common Core Standard HSN-RN.B.3 Questions

Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

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Subtract. $5sqrt(12b)-3sqrt(3b)$
1. Cannot combine
2. $sqrt(51b)$
3. $6sqrtb$
4. $7sqrt(3b)$
$6sqrt2 + 5sqrt2 + sqrt2$
1. $11sqrt2$
2. $12sqrt2$
3. $11sqrt8$
4. $11sqrt6$